Perhaps not dominance/score so much as inclination... as Will says, in this portion of the game you're also setting your species' personality, so that when they're in someone else's game, they act as you played them. The numbers could just show which way you're leaning based on your actions.

why would you need numbers to tell you if your setting your own people on fire and inviting the neighbors for a bonfire or giving all your money toward their happiness and advancement?